The study of boundaries of groups originated in the study of limit sets of Kleinian and Fuchsian groups. This idea was generalized by Gromov to boundaries of neg- atively curved groups and CAT(0) boundaries of groups [8]. In [3], Bestvina and Mess prove that, when G is negatively curved, the nth Cech cohomology groups (with coefficients in a ring R) of the Gromov boundary of G are isomorphic to the (n + l)th cohomology groups of G with coefficients in the group ring RG. In [2], Bestvina extends this result to include more general types of boundaries of groups. He also gives some results relating the global and local Steenrod ho- mology of boundaries of groups, weaker results for general boundaries of groups, and stronger results when the boundary in question is the Gromov boundary of a negatively curved group. These later results are based on the point z of the Gro- mov boundary satisfying what is called Axiom H. A proof is given that all points of the Gromov boundary satisfy Axiom H.
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